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As might be expected, the Parmenidean paradoxes provoked a considerable amount of contradiction and ridicule. The Reids and Beatties of that time drew sundry absurd consequences from the new doctrine, and offered them as a sufficient refutation of its truth. Zeno, a young friend and20 favourite of Parmenides, took up arms in his masters defence, and sought to prove with brilliant dialectical ability that consequences still more absurd might be deduced from the opposite belief. He originated a series of famous puzzles respecting the infinite divisibility of matter and the possibility of motion, subsequently employed as a disproof of all certainty by the Sophists and Sceptics, and occasionally made to serve as arguments on behalf of agnosticism by writers of our own time. Stated generally, they may be reduced to two. A whole composed of parts and divisible ad infinitum must be either infinitely great or infinitely little; infinitely great if its parts have magnitude, infinitely little if they have not. A moving body can never come to the end of a given line, for it must first traverse half the line, then half the remainder, and so on for ever. Aristotle thought that the difficulty about motion could be solved by taking the infinite divisibility of time into account; and Coleridge, according to his custom, repeated the explanation without acknowledgment. But Zeno would have refused to admit that any infinite series could come to an end, whether it was composed of successive or of co-existent parts. So long as the abstractions of our understanding are treated as separate entities, these and similar puzzles will continue to exercise the ingenuity of metaphysicians. Our present business, however, is not to solve Zenos difficulties, but to show how they illustrate a leading characteristic of Greek thought, its tendency to perpetual analysis, a tendency not limited to the philosophy of the Greeks, but pervading the whole of their literature and even of their art. Homer carefully distinguishes the successive steps of every action, and leads up to every catastrophe by a series of finely graduated transitions. Like Zeno, again, he pursues a system of dichotomy, passing rapidly over the first half of his subject, and relaxes the speed of his narrative by going into ever-closer detail until the consummation is reached. Such a poem as the Achilleis of modern critics21 would have been perfectly intolerable to a Greek, from the too rapid and uniform march of its action. Herodotus proceeds after a precisely similar fashion, advancing from a broad and free treatment of history to elaborate minuteness of detail. So, too, a Greek temple divides itself into parts so distinct, yet so closely connected, that the eye, after separating, as easily recombines them into a whole. The evolution of Greek music tells the same tale of progressive subdivision, which is also illustrated by the passage from long speeches to single lines, and from these again to half lines in the dialogue of a Greek drama. No other people could have created mathematical demonstration, for no other would have had skill and patience enough to discover the successive identities interposed between and connecting the sides of an equation. The dialectic of Socrates and Plato, the somewhat wearisome distinctions of Aristotle, and, last of all, the fine-spun series of triads inserted by Proclus between the superessential One and the fleeting world of sense,were all products of the same fundamental tendency, alternately most fruitful and most barren in its results. It may be objected that Zeno, so far from obeying this tendency, followed a diametrically opposite principle, that of absolutely unbroken continuity. True; but the Eleatic Palamedes fought his adversaries with a weapon wrested out of their own hands; rejecting analysis as a law of real existence, he continued to employ it as a logical artifice with greater subtlety than had ever yet been displayed in pure speculation.18For a long minute Dick, Larry and Sandy stood in a compact group, feeling rather stunned by the sudden springing of the trap, as they considered the closed hangar.
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  • FORE:Having proved, to his satisfaction, that the nature of things is unknowable, Pyrrho proceeds to deal with the two remaining heads of the philosophic problem. To the question what should be our relation to a universe which we cannot reach, the answer is, naturally, one of total indifference. And the advantage to be derived from this attitude is, he tells us, that we shall secure the complete imperturbability wherein true happiness consists. The sceptical philosophy does not agree with Stilpo in denying the reality of actual and immediate annoyances, for it denies nothing; but it professes to dispel that very large amount of unhappiness which arises from the pursuit of fancied goods and the expectation of future calamities. In respect to the latter, what Pyrrho sought was to arrive by the exercise of reasoning at the tranquillity which unreasoning animals naturally enjoy. Thus, we are told that, when out at sea in a storm, he called the attention of the terrified passengers to a little pig which was quietly feeding in spite of the danger, and taught them that the wise man should attain to a similar kind of composure.
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CHAPTER XXVII. A GLASS OF WINE.Leona Lalage had scarcely returned to her own room when Hetty came out of hers. She had heard the loud knocking at the door, and had instantly guessed who it was. But the strange silence that followed the answering of that summons puzzled her. The whole house was wonderfully still now, a silence that seemed to tell of dark mysteries. She looked over into the hall below. She could not remain here any longer. She would go down into the library and wait there. Those two people were quite capable of murdering her lover as well as Maitrank. She opened the library door, and to her great surprise Bruce stood before her.
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